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Finding the Fourth Proportional to 4,061.50, 6,092.22 and 1,139.80

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Solution

The fourth proportional to 4,061.50, 6,092.22 and 1,139.80 is: 1,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.50 : 6,092.22 = 1,139.80 : x
  2. Step 2: Convert to fraction form
    4,061.50/6,092.22 = 1,139.80/x
  3. Step 3: Cross multiply
    4,061.50x = 6,092.22 × 1,139.80
  4. Step 4: Simplify right side
    4,061.50x = 6,943,928.63
  5. Step 5: Solve for x
    x = 6,943,928.63/4,061.50
  6. Step 6: Final answer
    x = 1,709.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.